Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

A recent survey of people who eat salad suggest that 78% like tomatoes on their salad, 49% like cheese on their salad, and 36% like both tomatoes and cheese on their salad. suppose a person who eats salad is selected at random, and find they like cheese on their salad. what is the probability that the person also likes tomatoes on their salad? 0.29 0.46 0.49 0.73

Sagot :

CintiaSalazar

By definition of conditional probability, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).

Definition of probability

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

Definition of conditional probability

The conditional probability P(A|B) is the probability that an event A occurs, knowing that another event B also occurs. That is, it is the probability that event A occurs if event B has occurred. Is defined as:

P(A|B) = P(A∩B)÷ P(B)

Probability that the person also likes tomatoes on their salad

In this case, you know:

  • Event A: Person likes tomatoes on their salad.
  • Event B: Person likes cheese on their salad.

Being the event A∩B (A intersection B) when A and B occur simultaneously, then:

  • P(A)= 78%=0.78
  • P(B)= 49%= 0.49
  • P(A∩B)= 36%=0.36

Suppose a person who eats salad is randomly selected and likes cheese on his salad, the probability that the person also likes tomatoes on their salad is:

P(B|A) = P(A∩B)÷ P(B)

Then:

P(A|B) = 0.36÷0.49

P(B|A) = 0.73= 73%

Finally, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).

Learn more about conditional probability:

brainly.com/question/14398287

brainly.com/question/19489568

#SPJ1

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.